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Chapter 30, Problem 013 One hundred turns of (insulated) copper wire are wrapped

ID: 778937 • Letter: C

Question

Chapter 30, Problem 013 One hundred turns of (insulated) copper wire are wrapped around a wooden cylindrical core of cross-sectional area 5.75 10-3 m2. The two ends of the wire are connected to a resistor. The total resistance in the circuit is 17.6 2. If an externally applied uniform longitudinal magnetic field in the core changes from 1.90 T in one direction to 1.90 T in the opposite direction, how much charge flows through a point in the circuit during the change? NumberUnits the tolerance is +/-590

Explanation / Answer

Induced Voltage is given by

E=NAdB/dt

Induced Current

I=E/R =(NA/R)dB/dt

Charge

Q=I*dt =(NA/R)dB=

Q=100*(5.75*10-3)*(1.9-(-1.9)/17.6

Q=0.124 C

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